Let's divide 301241 by 61
We're looking to find how many times 61 goes into 301241.

Going ahead to step 1:
3 divided by 61 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 61

Let's proceed to step 2:
The number 61 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Grab the next digit (1) from the dividend, add it to 30, then carry on: 301 / 61

On to step 3:
When dividing 301 by 61, we get 4 with a remainder of 57.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 244 from 301 to get 57.
Bring next digit (2) of the dividend behind the 57 and repeat the process: 572 / 61

Step 4:
If we divide 572 by 61, we get 9 and a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
If we take 549 away from 572, we end up with 23.
Fetch the next digit (4) from the dividend, attach it to 23 and continue: 234 / 61

Advancing to step 5:
61 goes into 234 3 times with a remainder of 51.
The number 3 becomes the next digit in our result. 
Result so far: 493.0
If we take 183 away from 234, we end up with 51.
Fetch the next digit (1) from the dividend, attach it to 51 and continue: 511 / 61

Moving on to step 6:
The number 61 fits into 511 8 times, leaving a remainder of 23.
The next digit of our result is 8. 
Result so far: 4938.0
The remainder is 23 after subtracting 488 from 511.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
The number 61 fits into 230 3 times, leaving a remainder of 47.
The next digit of our result is 3. 
Result so far: 4938.3
Deduct 183 from 230 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 8:
If we divide 470 by 61, we get 7 and a remainder of 43.
The next digit of our result is 7. 
Result so far: 4938.37
Subtract 427 from 470 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 9:
61 can be fit into 430 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 4938.377
Deduct 427 from 430 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 4938.377, and the remainder is 0.0003.